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Q1. The value of is equal to: 4 3 − 3 + 1
2 − 3 2 + 3 (a) 0 (b) 1 (c) 8 3 (d) 15 Answer: (b) Q2. If the area of the rectangle is 4x² + 4x – 3, then find its possible dimensions. (a) 2x – 3, 2x + 1 (b) 2x – 1, 2x + 3 (c) 3x + 1, 2x – 3 (d) 3x – 1, 2x + 3 Answer: (b) Q3. If (3, 2) is the solution of 3x – ky = 5, then k equals (a) 2 (b) 3 (c) 1 2 (d) 4 Answer: (a) Q4. A two-digit number is such that the product of the digits is 8. When 18 is added to the number, then the digits are reversed. The number is ____. (a) 18 (b) 24 (c) 42 (d) 81 Answer: (b) Q5. The sum of the ages of father and son is 45 years. Five years ago, the product of their age was 4 times the age of the father at that time. The present age of the father is (a) 30 (b) 31
(c) 36 (d) 41 Answer: (c) Q6. If the coordinates of the point shown in the picture are (n+5, n+15), the value of n is (a) 15 (b) 35 (c) - (d) - Answer: (d) Q7. If two complementary angles are in the ratio 13: 5, then the angles are: (a) 13o, 5o (b) 25o, 65o (c) 65o, 25o (d) 65o, 35o Answer: (c) Q8. Find X in the given figure.
(a) 45^0 (b) 60^0 (c) 90^0 (d) 30^0 Answer: (c) Q12. How many circles can be drawn passing through three non-collinear points? (a) Only one (b) Two (c) Infinite (d) None of these Answer: (a) Q13. In the cylindrical container, the base radius is 8 cm. If the height of the water level is 20 cm, find the volume of the water in the container. (a) 5.67 litre (b) 4.02 litre (c)3.89 litre (d) 4.97 litre Answer: (b) Q14. The height of a cone is 8.4 cm and the radius of its base is 2.1 cm. It is melted and recast into a shape. The radius of the sphere is (a) 4.2 cm (b) 2.1 cm (c) 2.4 cm (d) 1.6 cm Answer: (b) Q15. What is the probability that a number selected at random from the numbers 1, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4 will be their average? (a) 114 (b) 3 11 (c) 5 11
(d) 7 11 Answer: (a)